IJPAM: Volume 115, No. 3 (2017)

Title

ON $w$-$\alpha$-OPEN SETS AND
$\alpha$-WEAKLY $gw$-CLOSED SETS IN $w$-SPACES

Authors

Young Key Kim$^1$, Won Keun Min$^2$
$^1$Department of Mathematics
MyongJi University
Yongin, 17058, KOREA
$^2$Department of Mathematics
Kangwon National University
Chuncheon, 24341, KOREA

Abstract

The purpose of this article is to introduce the notions of $w$-$\alpha$-open sets and $\alpha$-weakly $gw$-closed sets in $w$-spaces, and to study properties of them. In particular, the relationships among weakly $gw$-closed sets, $s$-weakly $gw$-closed sets and $\alpha$-weakly $gw$-closed sets are investigated.

History

Received: February 24, 2017
Revised: June 15, 2017
Published: July 27, 2017

AMS Classification, Key Words

AMS Subject Classification: 54A05, 54B10, 54C10, 54D30
Key Words and Phrases: $w$-$\alpha$-open, $gw$-closed, weakly $gw$-closed, $s$-weakly $gw$-closed, $\alpha$-weakly $gw$-closed

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How to Cite?

DOI: 10.12732/ijpam.v115i3.5 How to cite this paper?

Source:
International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2017
Volume: 115
Issue: 3
Pages: 517 - 527


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